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olga2289 [7]
3 years ago
14

What is the mean, mode, median, and range of the numbers 24, 31, 12, 38, 12, and 15​

Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0

Answer:

mean: 19.66667

mode: 12

median: 18

range: 37

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The number of errors in a textbook follow a Poisson distribution with a mean of 0.03 errors per page. What is the probability th
maksim [4K]

Answer:

The probability that there are 3 or less errors in 100 pages is 0.648.        

Step-by-step explanation:

In the information supplied in the question it is mentioned that the errors in a textbook follow a Poisson distribution.

For the given Poisson distribution the mean is p = 0.03 errors per page.

We have to find the probability that there are three or less errors in n = 100 pages.

Let us denote the number of errors in the book by the variable x.

Since there are on an average 0.03 errors per page we can say that

the expected value is, \lambda = E(x)

                                       = n × p

                                       = 100 × 0.03

                                       = 3

Therefore the we find the probability that there are 3 or less errors on the page as

     P( X ≤ 3) = P(X = 0) + P(X = 1) + P(X=2) + P(X=3)

                 

   Using the formula for Poisson distribution for P(x = X ) = \frac{e^{-\lambda}\lambda^X}{X!}

Therefore P( X ≤ 3) = \frac{e^{-3} 3^0}{0!} + \frac{e^{-3} 3^1}{1!} + \frac{e^{-3} 3^2}{2!} + \frac{e^{-3} 3^3}{3!}

                                 = 0.05 + 0.15 + 0.224 + 0.224

                                 = 0.648

 The probability that there are 3 or less errors in 100 pages is 0.648.                                

7 0
3 years ago
Read 2 more answers
Find the equation of a line parallel to y=-10x-5 passing through the coordinate (-3,5)
Allushta [10]
With a given parallel line and a given point on the line
we can use the point-line method:  y-y0=m(x-x0)
where
y=mx+k is the given line, and
(x0,y0) is the given point.

Here
m=-10, k=-5, (x0,y0)=(-3,5)

=> the required line L is given by:
L:  y-5=-10(x-(-3))

on simplification
L: y=-10x-30+5
L: y=-10x-25
4 0
3 years ago
Tan 2t=0 on an interval [0,2pi) solve and simplify
sasho [114]
There an infinite number of solutions that can be generated by giving different values
3 0
3 years ago
Height
dem82 [27]

Answer:

<h3>1 secs</h3>

Step-by-step explanation:

Given the height of the discus can be modeled by the equation y=−16x ^2 +32x+4, where y represents the  height in feet of the discus in seconds, the velocity of the discus at its maximum height is zero.

Velocity v = dy/dx = 0

dy/dx = -32x + 32

0 = -32x + 32

32x = 32

x = 1 secs

Hence it will take the discus 1 secs to reach its maximum height

8 0
3 years ago
734.8 divided by 1.67
Vladimir [108]
The answer is 440 :)
5 0
3 years ago
Read 2 more answers
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